Frumusetea matematicii

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Daniel Tosa

1 x 8 + 1 = 9 12 x 8 + 2 = 9 8 123 x 8 + 3 = 9 8 7 1234 x 8 + 4 = 9 8 7 6 12345 x 8 + 5 = 9 8 7 6 5 123456 x 8 + 6 = 9 8 7 6 5 4 1234567 x 8 + 7 = 9 8 7 6 5 4 3 12345678 x 8 + 8 = 9 8 7 6 5 4 3 2 123456789 x 8 + 9 = 9 8 7 6 5 4 3 2 1

1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 1111111111

9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888 Nu-i asa ca este frumos?

1 x 1 = 1 11 x 11 = 1 2 1 111 x 111 = 1 2 3 2 1 1111 x 1111 = 1 2 3 4 3 2 1 11111 x 11111 = 1 2 3 4 5 4 3 2 1 111111 x 111111 = 1 2 3 4 5 6 5 4 3 2 1 1111111 x 1111111 = 1 2 3 4 5 6 7 6 5 4 3 2 1 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321 Admirati aceasta simetrie:

Din punct de vedere strict matematic: Ce inseamna 100%? Un numar. Dar in viata, ce inseamna 100%? Cum atingem eficienta de 100%? Haideti sa privim si altfel…

Iata o mica demonstratie matematica care ne poate ajuta. E suficient sa o urmariti si sa o verificati:

Daca literele: A B C D E F G H I J K L M N O P R S T U V W X Y Z sunt reprezentate ca numere: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25.

atunci M-U-N-C-A-G-R-E-A 13+20+14+3+1+7+17+5+1 = 81% si S-T-I-I-N-T-A 18+19+9+9+14+19+1 = 89%

Dar A-T-I-T-U-D-I-N-E 1+19+9+19+20+4+9+14+5 = 100%

Prin urmare, se poate spune, cu certitudine matematica ca: Chiar daca munca grea si stiinta sunt folositoare, atitudinea cu care facem lucrurile conduce la eficienta maxima !

Prezentarea aceasta a fost tradusa din engleza. Primele cuvinte analizate inregistrau eficienta mai mare decat in romana. Particularitatile socioculturale dau aceasta diferenta. Asta inseamna ca atitudinea cu care facem lucrurile pentru noi, romanii, devine extrem de importanta. Asta, numai daca vrem cu adevarat sa traim bine, adica 100% .

Ce inseamna atitudinea ? Respectarea unor cerinte simple: 1. Etica 2. Ordine şi curăţenie 3. Integritate şi cinste 4. Punctualitate 5. Resposabilitate 6. Dorinţa de perfecţionare 7. Respectul pentru legi şi regulamente 8. Respectul pentru drepturile celorlalţi 9. Dragoste pentru muncă 10. Efortul pentru a face economii şi cheltuiala cu chibzuinţă

Sa aveti o zi minunata! Traducerea si adaptarea: Centrul de cercetare si promovare terapii complementare CRISTERA www.cristera.ro

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Frumusetea matematicii

1. Va prezentam o modalitate interesanta pentru a descoperi frumusetea matematicii Frumusetea Matematicii Wonderful World

2. 1 x 8 + 1 = 9 12 x 8 + 2 = 9 8 123 x 8 + 3 = 9 8 7 1234 x 8 + 4 = 9 8 7 6 12345 x 8 + 5 = 9 8 7 6 5 123456 x 8 + 6 = 9 8 7 6 5 4 1234567 x 8 + 7 = 9 8 7 6 5 4 3 12345678 x 8 + 8 = 9 8 7 6 5 4 3 2 123456789 x 8 + 9 = 9 8 7 6 5 4 3 2 1

3. 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 1111111111

4. 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888 Nu-i asa ca este frumos?

5. 1 x 1 = 1 11 x 11 = 1 2 1 111 x 111 = 1 2 3 2 1 1111 x 1111 = 1 2 3 4 3 2 1 11111 x 11111 = 1 2 3 4 5 4 3 2 1 111111 x 111111 = 1 2 3 4 5 6 5 4 3 2 1 1111111 x 1111111 = 1 2 3 4 5 6 7 6 5 4 3 2 1 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321 Admirati aceasta simetrie:

6. Din punct de vedere strict matematic: Ce inseamna 100%? Un numar. Dar in viata, ce inseamna 100%? Cum atingem eficienta de 100%? Haideti sa privim si altfel…

7. Iata o mica demonstratie matematica care ne poate ajuta. E suficient sa o urmariti si sa o verificati:

8. Daca literele: A B C D E F G H I J K L M N O P R S T U V W X Y Z sunt reprezentate ca numere: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25.

9. atunci M-U-N-C-A-G-R-E-A 13+20+14+3+1+7+17+5+1 = 81% si S-T-I-I-N-T-A 18+19+9+9+14+19+1 = 89%

10. Dar A-T-I-T-U-D-I-N-E 1+19+9+19+20+4+9+14+5 = 100%

11. Prin urmare, se poate spune, cu certitudine matematica ca: Chiar daca munca grea si stiinta sunt folositoare, atitudinea cu care facem lucrurile conduce la eficienta maxima !

12. Prezentarea aceasta a fost tradusa din engleza. Primele cuvinte analizate inregistrau eficienta mai mare decat in romana. Particularitatile socioculturale dau aceasta diferenta. Asta inseamna ca atitudinea cu care facem lucrurile pentru noi, romanii, devine extrem de importanta. Asta, numai daca vrem cu adevarat sa traim bine, adica 100% .

13. Ce inseamna atitudinea ? Respectarea unor cerinte simple: 1. Etica 2. Ordine şi curăţenie 3. Integritate şi cinste 4. Punctualitate 5. Resposabilitate 6. Dorinţa de perfecţionare 7. Respectul pentru legi şi regulamente 8. Respectul pentru drepturile celorlalţi 9. Dragoste pentru muncă 10. Efortul pentru a face economii şi cheltuiala cu chibzuinţă

14. Sa aveti o zi minunata! Traducerea si adaptarea: Centrul de cercetare si promovare terapii complementare CRISTERA www.cristera.ro

Frumusetea matematicii

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